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Type the missing number in this sequence:\newline3, 9, 27, 81, _3,\ 9,\ 27,\ 81,\ \_

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Q. Type the missing number in this sequence:\newline3, 9, 27, 81, _3,\ 9,\ 27,\ 81,\ \_
  1. Identify Pattern: Identify the pattern in the sequence.\newlineThe sequence is 3,9,27,81,____3, 9, 27, 81, \_\_\_\_. Each number appears to be a multiple of 33. Let's check if there's a common factor between consecutive numbers.\newline9÷3=39 \div 3 = 3\newline27÷9=327 \div 9 = 3\newline81÷27=381 \div 27 = 3\newlineEach number is 33 times the previous number. This is a geometric sequence with a common ratio of 33.
  2. Apply Pattern: Apply the pattern to find the missing number.\newlineThe next number in the sequence should be 8181 (the last known number) multiplied by the common ratio, which is 33.\newline81×3=24381 \times 3 = 243
  3. Verify Result: Verify the result.\newlineTo ensure there's no math error, let's check if the found number fits the pattern.\newline243÷81=3243 \div 81 = 3\newlineThe result is indeed 33, which confirms that 243243 is the correct next number in the sequence.

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